Q-I-J-are-two-ideals-of-commutative-ring-R-prove-that-I-J-I-J-m-n-note-I-x-R-n-N-x-n-I- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 174684 by mnjuly1970 last updated on 08/Aug/22 Q:I,Jaretwoidealsofcommutativering,(R,⊕,).provethat:I∩J=?I∩Jm.nnote:I={x∈R∣∃n∈N,xn∈I} Answered by mindispower last updated on 09/Aug/22 I∩JidealI∩J={x∈R∣∃n∈Nxn∈I∩J}xn∈I⇒x∈Ixn∈J⇒x∈j⇒x∈I∩J⇒I∩J⊂I∩Jx∈I∩J⇒∃n,m∣xn∈I,xm∈Jxn+m∈I“xn.xm∈xm.I=I,“xn+m∈J,xm+n=xn.xm∈xnJ=J}⇒xn+m∈I∩J⇒x∈I∩J⇒I∩J⊂I∩JI∩J=I∩J Commented by mnjuly1970 last updated on 14/Aug/22 thanksalotsirpower… Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: if-f-x-x-be-a-mapping-prove-that-f-I-X-I-X-f-f-I-X-help-me-sir-Next Next post: prove-that-0-x-2-cosh-x-dx-pi-3-8- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.